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Finding the Fourth Proportional to 793.20, 1,189.20 and 504.08

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Solution

The fourth proportional to 793.20, 1,189.20 and 504.08 is: 755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.20 : 1,189.20 = 504.08 : x
  2. Step 2: Convert to fraction form
    793.20/1,189.20 = 504.08/x
  3. Step 3: Cross multiply
    793.20x = 1,189.20 × 504.08
  4. Step 4: Simplify right side
    793.20x = 599,451.94
  5. Step 5: Solve for x
    x = 599,451.94/793.20
  6. Step 6: Final answer
    x = 755.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.